This is the second paper in a series where we study the influence of transport processes on the chemical evolution of protoplanetary disks. Our analysis is based on a 1+1D flared α-model of a ∼ 5 Myr DM Tau-like system, coupled to a large gas-grain chemical network. To account for production of complex molecules, the chemical network is supplied with an extended set of surface reactions and photo-processes in ice mantles. Our chemo-dynamical disk model covers a wide range of radii, 10-800 AU (from a Jovian planet-forming zone to the outer disk edge). Turbulent transport of gases and ices is implicitly modeled in full 2D along with the time-dependent chemistry, using the mixing-length approximation. Two regimes are considered, with high and low efficiency of turbulent mixing. The results of the chemical model with suppressed turbulent diffusion are close to those from the laminar model, but not completely. A simple analysis for the laminar chemical model to highlight potential sensitivity of a molecule to transport processes is performed. It is shown that the higher the ratio of the characteristic chemical timescale to the turbulent transport timescale for a given molecule, the higher the probability that its column density will be affected by diffusion. We find that turbulent transport enhances abundances and column densities of many gas-phase species and ices, particularly, complex ones. For such species a chemical steady-state is not reached due to long timescales associated with evaporation and surface photoprocessing and recombination (t 10 5 years). When a grain with an icy mantle is transported from a cold disk midplane into a warm intermediate/inner region, heavy radicals become mobile on the surface, enriching the mantle with complex ices, which are eventually released into the gas phase. The influence of turbulent mixing on disk chemistry is more pronounced in the inner, planet-forming disk region where gradients of temperature and high-energy radiation intensities are steeper than in the outer region. In contrast, simple radicals and molecular ions, which chemical evolution is fast and proceeds solely in the gas phase, are not much affected by dynamics. All molecules are divided into three groups according to the sensitivity of their column densities to the turbulent diffusion. The molecules that are unresponsive to transport include, e.g., C 2 H, C + , CH 4 , CN, CO, HCN, HNC, H 2 CO, OH, as well as water and ammonia ice. Their column densities computed with the laminar and 2D-mixing model differ by a factor of 2 − 5 ("steadfast" species). Molecules which vertical column densities in the laminar and dynamical models differ by up to 2 order of magnitude include, e.g., C 2 H 2 , some carbon chains, CS, H 2 CS, H 2 O, HCO + , HCOOH, HNCO, N 2 H + , NH 3 , CO ice, H 2 CO ice, CH 3 OH ice, and electrons ("sensitive" species). Molecules which column densities are altered by diffusion by more than 2 orders of magnitude include, e.g., C 2 S, C 3 S, C 6 H 6 , CO 2 , O 2 , SiO, SO, SO 2 , long carbon chain ices,...